4

Set 4: Exponential Functions (Intermediate)

Explanation

Answer: C

PROBLEM

Simplify: 5 to the power of 3 times 5 to the power of 2. Express as 5 to the power of what?

Simplify: 5 to the power of 3 times 5 to the power of 2. Express as 5 to the power of what?

A.

4

B.

6

C.

5

✓ Correct
D.

3

Detailed Explanation

Choice C is the best answer. 5 to the power of 3 times 5 to the power of 2 = 5 to the power of (3+2) = 5 to the power of 5

Why others are wrong:
A: 4 is incorrect because it does not satisfy the equation.
B: 6 is incorrect because it does not satisfy the equation.
D: 3 is incorrect because it does not satisfy the equation.